Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
240 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 86 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. C9×#334 | C2 | semidirect |
| 5. #10588157 | C2 | semidirect |
| 6. #10588156 | C2 | semidirect |
| 7. #10588135 | C2 | semidirect |
| 89. #334 | D9 | semidirect |
| 185. C9 | #1573 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10588519 | 2 |
| D9×C4⋊C8 | 2 |
| #10588367 | 2 |
| C9×#334 | 2 |
| #10588157 | 2 |
| #10588156 | 2 |
| #10588135 | 2 |
| #68534 | 3 |